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Finding the Fourth Proportional to 4,769.64, 7,152.22 and 1,766.70

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Solution

The fourth proportional to 4,769.64, 7,152.22 and 1,766.70 is: 2,649.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.64 : 7,152.22 = 1,766.70 : x
  2. Step 2: Convert to fraction form
    4,769.64/7,152.22 = 1,766.70/x
  3. Step 3: Cross multiply
    4,769.64x = 7,152.22 × 1,766.70
  4. Step 4: Simplify right side
    4,769.64x = 12,635,827.07
  5. Step 5: Solve for x
    x = 12,635,827.07/4,769.64
  6. Step 6: Final answer
    x = 2,649.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.